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Discussion of Problem 1056. Centers of the Net

I think That maximum num of center-computer less than 3
Posted by Piratek-(akaDK) 1 Jan 2007 22:27
I can not prooved , but i think that all of them are must be connected by edge , so if there are three center computer, one of them (behind two of them) has less deep than others.

others-----1 ---- 2 ----- 3 others
2 -  behind  computer

from picture we see that 1 and 3  can not be the center computer